Forcing companies to update their games for any new OS or hardware forever. Which would be an insane demand, thus, no signature from me. If you want support, spend some effort phrasing it properly before you present it to non-experts in the field.
I agree that that is a problem but unfortunately this petition wasn't phrased in a way to deal with that problem.
This, right here, is the insane bit that shows no understanding for the complexities of either hosting servers or programming. Now if they had limited that in any way to games that require the online component only for some sort of license check that would make sense but they haven't. They expect the publisher to somehow turn a game from a state that requires online servers into one that does not and 99% of the comments in this thread and others on the initiative show that gamers do not understand the amount of effort that requires.
Now if they had demanded a removal of any online license check/DRM mechanism from games that only require the online connection for that, sure, that would have been fine.
Or, more aimed at the cultural preservation aspect, if they had demanded that game publishers should release all source code and assets before killing off a game so the community can develop some solution to keep it running, that would have made sense, even if it would have been hard to achieve politically.
However none of that nuance is in there, the whole initiative seems to be developed and supported by gamers who have never written a line of code or run a server that wasn't specifically designed to be run by laymen.